Colding-Minicozzi entropies of some self-shrinkers

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Qilun Luo, Guoxin Wei, Fu-An Zhang
DOI: 10.1090/proc/17503
Cited by: 0
References: 24

Abstract

In this note, we use the shooting method to numerically estimate the Colding-Minicozzi entropies of some self-shrinkers and find that Colding-Minicozzi entropies of the n n -dimensional Angenent doughnut decrease with respect to the dimension n n ( 2 ≤ n ≤ 5 × 10 7 2\leq n\leq 5\times 10^7 ), which partially answers the questions posed by Berchenko-Kogan [Exp. Math. 30 (2021), pp. 587–594].

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Advanced Differential Geometry Research Nonlinear Partial Differential Equations

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
3
Pages
1279–1293
Publication date
15 January 2026
Language
EN